Envelopes of families of Legendre mappings in the unit tangent bundle over the Euclidean space-Reference-Cited by-同舟云学术

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Envelopes of families of Legendre mappings in the unit tangent bundle over the Euclidean space

Published:2019-05 Issue:1 Volume:473 Page:408-420
ISSN:0022-247X
Container-title:Journal of Mathematical Analysis and Applications
language:en
Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Takahashi Masatomo

Funder

JSPS

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference23 articles.

1. Singularities of Caustics and Wave Fronts;Arnol'd,1990

2. Singularities of Differentiable Maps, vol. I;Arnol'd,1986

3. What is an envelope?;Bruce;Math. Gaz.,1981

4. Curves and Singularities. A Geometrical Introduction to Singularity Theory;Bruce,1992

5. Caustics through the looking glass;Bruce;Math. Intelligencer,1984

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2. Envelopes of families of framed surfaces and singular solutions of first-order partial differential equations;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2020-09-15

3. Singularities of Singular Solutions of First-Order Differential Equations of Clairaut Type;Journal of Dynamical and Control Systems;2020-08-30

4. Anti-orthotomics of frontals and their applications;Journal of Mathematical Analysis and Applications;2020-07

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